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Finding the Third Proportional to 255,576 and 554,592

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Solution

The third proportional to 255,576 and 554,592 is: 1,203,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,576 : 554,592 = 554,592 : x
  2. Step 2: Convert to fraction form
    255,576/554,592 = 554,592/x
  3. Step 3: Cross multiply
    255,576x = 554,592 × 554,592
  4. Step 4: Simplify right side
    255,576x = 307,572,286,464
  5. Step 5: Solve for x
    x = 307,572,286,464/255,576
  6. Step 6: Final answer
    x = 1,203,447.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.